论文标题
CPT-eve-even-Lorentz侵略标量QED中的三分和四点功能
Three- and Four-Point Functions in CPT-Even Lorentz-Violating Scalar QED
论文作者
论文摘要
除了单位性和因果关系所施加的一般限制外，量子场理论的重新归一化通常还假定洛伦兹和仪表对称性。但是，可以通过放松其中的一些假设来扩大一组可重新分配的理论。在这项工作中，我们考虑了标量QED的CPT保存但破坏洛伦兹的扩展的特殊情况。对于这一理论，我们根据洛伦兹违规参数的最低顺序计算为三点标量和四点矢量顶点函数的单循环校正。并且我们明确验证了由此产生的低能量有效作用与通常的规格不变性要求兼容。通过这些结果，我们在洛伦兹侵略参数中以领先顺序完成了模型的单环重新归一化。
The renormalization of quantum field theories usually assumes Lorentz and gauge symmetries, besides the general restrictions imposed by unitarity and causality. However, the set of renormalizable theories can be enlarged by relaxing some of these assumptions. In this work, we consider the particular case of a CPT-preserving but Lorentz-breaking extension of scalar QED. For this theory, we calculate the one-loop radiative corrections to the three- and four-point scalar-vector vertex functions, at the lowest order in the Lorentz violation parameters; and we explicitly verify that the resulting low-energy effective action is compatible with the usual gauge invariance requirements. With these results, we complete the one-loop renormalization of the model at the leading order in the Lorentz-violating parameters.
